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anonymous
 4 years ago
Evaluate the determinants to verify the equation
anonymous
 4 years ago
Evaluate the determinants to verify the equation

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I have tried solving this and have been unsuccessful. Can anyone help me out?

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1is this your problem child of a problem?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ummm the equation after the equal sign. Is that the determinant?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Since i know what the determinant equals but it doesnt equal that

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1it's asking you to evaluate the determinant and then show it does equal the expression on the RHS (right and side).

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1sure? I find the determinant to be \[ bc^3 + ca^3 + ab^3  (ba^3 + cb^3 + ac^3) \]

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1while the RHS, \[ RHS = (a^2b + a^2c + ab^2  ac^2  b^2c + bc^2)(a+b+c) \] \[= ab^3 + bc^3 + ca^3 (ba^3  ac^3  cb^3) \] which is the same.

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1in the brackets, should be + +

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0LOL I dont know where I went wrong but when I foiled I Landed up with too many cs

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1This problem is training you. Time to move beyond FOIL and multiply things out and keep track of them. Work this again and make sure you can replicate the result.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0like what do u mean by moving beyond foil?

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1I mean you shouldn't need the rubric anymore. And what's more, you are seeing things with more than two terms in each bracket now. You should teach yourself to do that without using foil, a la the following (x + y + z)(a + b + c) = xa + xb + xc + ya + yb + yc + za + zb + zc

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ya but like there it was (ab)(bc)(ca)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so first i did (ab)(bc) and then i multiplied my answer by (ca) Is that correct?

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1exactly so, that's equal to (ab  ac b^2 + bc)(ca) = abc  ac^2 b^2c + bc^2 a^2b+a^2c + ab^2  abc = ab^2 + bc^2 + ca^2  (ac^2 + ba^2 + ac^2)

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1etc., etc. Lots of ways to skin this cat. But having the discipline to work through it is important.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okkkkk i just caught my mistake LOL

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1ok, I'm going to move on.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You make one silly mistake and it ruins everything. Thanks James for ur help

JamesJ
 4 years ago
Best ResponseYou've already chosen the best response.1Yes. Here's a hint for this problem. Clearly the problem is symmetric in a,b,c. Which means if we swapped the order of them it shouldn't upset the result too much. That being the case, at every step of the way, we should expect a certain symmetry in the terms. So if there's a term such as ab^2 it make sense that we should also expect a term such as bc^2 and ca^2 This is a way to at least sense check your answer at each step.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Alrighty Thanks for ur help :DDDDDDDD
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